📄 two_phase.m
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clear all % clear workspace
% Set up circuit parameters and mag. curve of transformer
Vrated = 120; % rms rated voltage
Srated = 1500; % rated VA
Frated = 50; % rated frequency in Hz
Zb = Vrated^2/Srated; % base impedance on primary side
wb = 2*pi*Frated; % base frequency
Vpk = Vrated*sqrt(2); % peak rated voltage
NpbyNs = 120/240; % nominal turns ratio
r1 = 0.25; % resistance of wdg 1 in ohms
rp2 = 0.134; % referred resistance of wdg 2 in ohms
xl1 = 0.056; % leakage reactance of wdg 1 in ohms
xpl2 = 0.056; % leakage reactance of wdg 1 in ohms
xm = 708.8; % unsaturated magnetizing reactance in ohms
xM = 1/(1/xm + 1/xl1 + 1/xpl2);
% mag. curve Dpsi versus psisat
Dpsi=[ -2454.6 -2412.6 -2370.5 -2328.5 -2286.4 -2244.4 -2202.3 ...
-2160.3 -2118.2 -2076.1 -2034.1 -1992.0 -1950.0 -1907.9 -1865.9 ...
-1823.8 -1781.8 -1739.7 -1697.7 -1655.6 -1613.6 -1571.5 -1529.5 ...
-1487.4 -1445.3 -1403.3 -1361.2 -1319.2 -1277.1 -1235.1 -1193.0 ...
-1151.0 -1108.9 -1066.9 -1024.8 -982.76 -940.71 -898.65 -856.60 ...
-814.55 -772.49 -730.44 -688.39 -646.43 -604.66 -562.89 -521.30 ...
-479.53 -438.14 -396.75 -355.35 -313.96 -272.56 -231.17 -192.60 ...
-154.04 -116.41 -81.619 -46.822 -19.566 0.0000 0.0000 0.0000 0.0000 ...
0.0000 0.0000 19.566 46.822 81.619 116.41 154.04 192.60 231.17 ...
272.56 313.96 355.35 396.75 438.14 479.53 521.30 562.89 604.66 ...
646.43 688.39 730.44 772.49 814.55 856.60 898.65 940.71 982.76 ...
1024.8 1066.9 1108.9 1151.0 1193.0 1235.1 1277.1 1319.2 1361.2 ...
1403.3 1445.3 1487.4 1529.5 1571.5 1613.6 1655.6 1697.7 1739.7 ...
1781.8 1823.8 1865.9 1907.9 1950.0 1992.0 2034.1 2076.1 2118.2 ...
2160.3 2202.3 2244.4 2286.4 2328.5 2370.5 2412.6 2454.6 ];
psisat=[ -170.21 -169.93 -169.65 -169.36 -169.08 -168.80 -168.52 ...
-168.23 -167.95 -167.67 -167.38 -167.10 -166.82 -166.54 -166.25 ...
-165.97 -165.69 -165.40 -165.12 -164.84 -164.56 -164.27 -163.99 ...
-163.71 -163.43 -163.14 -162.86 -162.58 -162.29 -162.01 -161.73 ...
-161.45 -161.16 -160.88 -160.60 -160.32 -160.03 -159.75 -159.47 ...
-159.18 -158.90 -158.62 -158.34 -157.96 -157.39 -156.83 -156.07 ...
-155.51 -154.57 -153.62 -152.68 -151.74 -150.80 -149.85 -146.08 ...
-142.31 -137.60 -130.06 -122.52 -107.44 -84.672 -42.336 0.0000 ...
0.0000 42.336 84.672 107.44 122.52 130.06 137.60 142.31 146.08 ...
149.85 150.80 151.74 152.68 153.62 154.57 155.51 156.07 156.83 ...
157.39 157.96 158.34 158.62 158.90 159.18 159.47 159.75 160.03 ...
160.32 160.60 160.88 161.16 161.45 161.73 162.01 162.29 162.58 ...
162.86 163.14 163.43 163.71 163.99 164.27 164.56 164.84 165.12 ...
165.40 165.69 165.97 166.25 166.54 166.82 167.10 167.38 167.67 ...
167.95 168.23 168.52 168.80 169.08 169.36 169.65 169.93 170.21 ];
% set up simulation parameters
tstop = 0.5; % stop time
Psi1o = 0; % initial value of wdg l flux linkage
Psip2o = 0; % initial value of wdg 2 flux linkage
repeat_run = 'Y'; % set up repeat run flag
while repeat_run == 'Y'
disp('Setting up transformer simulation')
disp('')
disp('Enter value of RH and parallel Inductance LH, the high-gain impedance to develop v2''')
disp('Example: set RH to 0 for short circuit')
disp(' or to 100*Zb for open circuit')
disp('Zb is the base impedance on primary side')
disp('')
RH = input('Enter ohmic value of high gain resistor RH >')
LH = input('Enter inductive value of high gain inductance LH >')
disp('')
disp('Run simulation then type ''return '' for plots')
keyboard
clf;
subplot(3,1,1)
plot(y(:,1),y(:,2),'-')
ylabel('v1 in V')
title('primary voltage')
subplot(3,1,2)
plot(y(:,1),y(:,3),'-')
ylabel('v2'' in V')
title('secondary voltage')
subplot(3,1,3)
plot(y(:,1),y(:,4),'-')
ylabel('psim in Wb/sec')
title('mutual flux')
h2=figure;
clf;
subplot(3,1,1)
plot(y(:,1),y(:,5),'-')
ylabel('i1 in A')
title('primary current')
subplot(3,1,2)
plot(y(:,1),y(:,6),'-')
ylabel('i2'' in A')
xlabel('Time in sec')
title('secondary current')
% prompt for repeat with new system condition
repeat_run = input('Repeat with new system condition? Y/N: ','s');
if isempty(repeat_run) % if empty return a No to terminate
repeat_run = 'N';
end
end % while repeat_run
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